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...Chapter hyperbolic analytic geometry saccheri quadrilaterals recall the results on from let s be a convex quadrilateral in which two adjacent angles are right segment joining these vertices is called base side opposite summit and other sides if congruent to one another then this containing theorem i ii line midpoints of altitude perpendicular both d c n m b acute that three whose lambert fourth angle greater than its moreonquadrilaterals more now we need consider has each with length showed but would like know how much bigger relative sizes related lengths for sinh cosha figure proof compare applying law cosines have coshc coshacoshd sinhasinhdcos cos sin sinha sinhd coshd coshacoshb using equation eliminate variable coshb apply identity x coshx formula hyperbolicanalyticgeometry corollary given sinhc coshasinhb segments said complementary their by geometric meaning shown following gure parallelism associated an ideal vertex point earlier formulas get sinhx cschx cothx tanhx sechx tanh...